Physics · 2022
JEE Main · 24 June 2022, Shift 1 · Q48
A parallel plate capacitor is formed by two plates each of area 30 π cm^2 separated by 1 mm. A material of dielectric strength 3.6 × 10^7 Vm^-1 is…
A parallel plate capacitor is formed by two plates each of area $\displaystyle 30 \pi \mathrm{~cm}^2$ separated by $\displaystyle 1$ mm . A material of dielectric strength $\displaystyle 3.6 \times 10^7 \mathrm{Vm}^{-1}$ is filled between the plates. If the maximum charge that can be stored on the capacitor without causing any dielectric breakdown is $\displaystyle 7 \times 10^{-6} \mathrm{C}$, the value of dielectric constant of the material is :
$\displaystyle \left[\right.$ Use $\displaystyle \left.\frac{1}{4 \pi \varepsilon_{\mathrm{o}}}=9 \times 10^9 \mathrm{Nm}^2 \mathrm{C}^{-2}\right]$
Official answer
(4)
$\displaystyle 2.33$
More from Capacitors
- Two capacitors of capacities 2 C and C are joined in parallel and charged up to potential V. The battery is removed and the capacitor of capacity C…2021
- Space between the plates of a parallel plate capacitor of plate area 4 cm^2 and separation of 1.77 mm, is filled with uniform dielectric materials…2025
- Two parallel plate capacitors C_1 and C_2 each having capacitance of 10 μ F are individually charged by a 100 V D.C. source. Capacitor C_1 is kept…2023
- Calculate the amount of charge on capacitor of 4 μ F. The internal resistance of battery is 1 Ω:2021
- A parallel plate capacitor of capacitance 200 μ F is connected to a battery of 200 V. A dielectric slab of dielectric constant 2 is now inserted into…2021
- A capacitor P with capacitance 10 × 10^-6 F is fully charged with a potential difference of 6.0 V and disconnected from the battery. The charged…2026
- The charge on capacitor of capacitance 15 μ F in the figure given below is:2022
- Three capacitors of capacitances 25 μ F, 30 μ F and 45 μ F are connected in parallel to a supply of 100 V. Energy stored in the above combination is…2024
JEE Main 2022 Physics question, with the answer from NTA’s final answer key. Where our answers come from.